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Finding the Fourth Proportional to 387.58, 535.10 and 294.33

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Solution

The fourth proportional to 387.58, 535.10 and 294.33 is: 406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.58 : 535.10 = 294.33 : x
  2. Step 2: Convert to fraction form
    387.58/535.10 = 294.33/x
  3. Step 3: Cross multiply
    387.58x = 535.10 × 294.33
  4. Step 4: Simplify right side
    387.58x = 157,495.98
  5. Step 5: Solve for x
    x = 157,495.98/387.58
  6. Step 6: Final answer
    x = 406.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.